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Finding the Fourth Proportional to 646,585.40, 969,878.20 and 197,308.64

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Solution

The fourth proportional to 646,585.40, 969,878.20 and 197,308.64 is: 295,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,585.40 : 969,878.20 = 197,308.64 : x
  2. Step 2: Convert to fraction form
    646,585.40/969,878.20 = 197,308.64/x
  3. Step 3: Cross multiply
    646,585.40x = 969,878.20 × 197,308.64
  4. Step 4: Simplify right side
    646,585.40x = 191,365,348,607.65
  5. Step 5: Solve for x
    x = 191,365,348,607.65/646,585.40
  6. Step 6: Final answer
    x = 295,962.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.